# Math Help - Convergence

1. ## Convergence

Determine whether the sequence ((-1)^n) / n converges, and find the limit of the sequence.

I know it does converge to 0, but I'm not sure how to go about solving this. i want to show that the abs( (-1)^n / n - A) < epsilon for all positive epsilon, but when i try and solve to get n, i end up having to take a log and i get stuck any helpful hints? Thanks!

2. Originally Posted by mistykz
Determine whether the sequence ((-1)^n) / n converges, and find the limit of the sequence.

I know it does converge to 0, but I'm not sure how to go about solving this. i want to show that the abs( (-1)^n / n - A) < epsilon for all positive epsilon, but when i try and solve to get n, i end up having to take a log and i get stuck any helpful hints? Thanks!
Come on, just think.
$\left| {\frac{{\left( { - 1} \right)^n }}
{n}} -0\right| = \frac{1}
{n}$